Question

Pleas help me with pre calc:

Answer 1

attached

Answer 2

they are asking you where the graph crosses the x axis, although you don't need the graph to know where sine is zero

Answer 3

on the other hand, you can see it from the graph
it crosses the x axis infinitely often, since since is periodic
can you tell from the graph?

Answer 4

yes it is infinite

Answer 5

y = sin(theta) = 0

Answer 6

so how would I tell them what I know the anwer choices dont make scence

Answer 7

what would be the answer

Answer 8

ok lets list some places where it crosses the x axis and then see if we can make sense out of the answers '
they are not written in the best form

Answer 9

first off, is it clear that the graph crosses the x axis at \(x=0\)?

Answer 10

-2pi 2pi 0

Answer 11

yes, but some other places too

Answer 12

yes clear
at 2pi and -2pi and some others

Answer 13

for example, do you see that it crosses the x axis half way between 0 and \(2\pi\)?

Answer 14

yeah at 1pi

Answer 15

-1pi too

Answer 16

right, and also at \(-\pi\)

Answer 17

ok good, so lets list them \[...-2\pi,-\pi,0,\pi,2\pi,...\]

Answer 18

so the answer is the first one pik

Answer 19

??

Answer 20

yeah, what they mean by that is that it is zero at \(k\pi\) where \(k\) is any INTEGER for example if \(k=1\) you get \(\pi\) and if \(k=5\) you get \(5\pi\) tect

Answer 21

*etc

Answer 22

they were too lazy to write what they meant, you were supposed to read their minds

Answer 23

in enlish we might say "any integer multiple of \(\pi\)"